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Trigonometry

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Complex Number, Trigonometric Form, Quadrant IV, Exact Value

TRIG-9BKE4P

Write the complex number $ z=2-2\sqrt { 3 } i$ in trigonometric form.

A

$ z=4\left( \cos { \left( -\cfrac { \pi }{ 4 } \right) +i } \sin { \left( -\cfrac { \pi }{ 4 } \right) } \right)$

B

$ z=4\left( \cos { \left( -\cfrac { \pi }{ 2 } \right) +i } \sin { \left( -\cfrac { \pi }{ 2 } \right) } \right)$

C

$ z=4\left( \cos { \left( \cfrac {\ pi }{ 3 } \right) +i } \sin { \left( \cfrac { \pi }{ 3 } \right) } \right)$

D

$ z=4\left( \cos { \left( -\cfrac { \pi }{ 3 } \right) +i } \sin { \left( -\cfrac { \pi }{ 3 } \right) } \right)$